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A Mathematical Model for Predicting the Number of Potential Conflict Situations at Intersecting Air Routes

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  • Waheed Siddiqee

    (Stanford Research Institute, Menlo Park, California)

Abstract

A mathematical model is developed for predicting the expected number of potential conflict situations at the intersection of air routes. Given the intersection angle of two routes and the average flows and speeds of aircraft, the model predicts the average number of potential conflict situations per unit of time. A concept of intersection capacity based on conflict situations is introduced, and a mathematical model of intersection capacity is developed. The models can be used in planning air route network geometry, as well as in providing guidelines to the establishment of suitable levels of traffic flow along various routes.

Suggested Citation

  • Waheed Siddiqee, 1973. "A Mathematical Model for Predicting the Number of Potential Conflict Situations at Intersecting Air Routes," Transportation Science, INFORMS, vol. 7(2), pages 158-167, May.
    • Handle: RePEc:inm:ortrsc:v:7:y:1973:i:2:p:158-167
    DOI: 10.1287/trsc.7.2.158
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    Cited by:

    1. Friedman, Moshe F., 1986. "On the properties of the sum of durations of perceived conflicts in air traffic control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 28(4), pages 317-324.
    2. Zhong, Gang & Du, Sen & Zhang, Honghai & Zhou, Jiangying & Liu, Hao, 2024. "Demarcation method of safety separations for sUAV based on collision risk estimation," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    3. Netjasov, Fedja & Janic, Milan, 2008. "A review of research on risk and safety modelling in civil aviation," Journal of Air Transport Management, Elsevier, vol. 14(4), pages 213-220.

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